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High School Math

Math notes from high school including AMC, cryptography, calc 3, and linear algebra.

Cryptography

I got an internship at Boise State University's (BSU) 2022 Data-driven Security REU. I worked with Cassi Chen (UC Berkeley) and Paul Vanderveen (BSU).

Professor Liljana Babinkostova, Professor Edoardo Serra, and Ph.D. student Aparna Sankaran oversaw our research.

We researched deep-learning power analysis attacks on SCHWAEMM and GIFT, two lightweight cryptosystems.

The following files are notes I/we took during the REU.

Cryptography - Khan Academy

Based on Khan Academy's Cryptography course. Notes taken before the REU.

khan-academy-cryptography.pdf

Data Mining Notes

Data mining notes taken before the REU.

babinkostova-notes.pdf

Side-channel Attack Notes

Unfinished notes taken on side-channel attacks during the REU.

Side_Channel_Attacks_and_Neural_Networks_Notes.pdf

DLPA on SCHWAEMM Notes

Notes taken during the REU to figure out a DLPA attack on SCHWAEMM.

Non_profiled_Deep_learning_based_Attacks_on_Schwaemm_Notes.pdf

DLPA on a Hardware Implementation of GIFT-COFB

The abstract presented at the 2023 Women in Cybersecurity conference.

DLPA on a Hardware Implementation of GIFT-COFB.pdf

American Mathematics Competition

The American Mathematics Competition is a group of competitions for secondary students. The AMC 10 and 12 are tests for students in grade 10 and 12, respectively, or below.

You can find past AMCs here.

Below are notes that are helpful for AMC 10/12:

Introduction to Geometry

These notes are based on the Art of Problem Solving's Introduction to Geometry Course.

intro-to-geo-michel-liao.pdf

This is an incomplete file of the formulas I memorized for AMC 10/12.

memorization.pdf

Linear Algebra

Linear algebra is essential foundational knowledge for almost anything in applied mathematics. Here are the notes I took based on MATH 301 - Introduction to Linear Algebra with Professor Stephen Brill at Boise State University.

Multivariable Calculus

Below are notes I took in MATH 275 - Multivariable and Vector Calculus with Professor Shari Ultman at Boise State University.

m275-notes-michel-liao.pdf